Question

Solve the equation for X 3(x+2)=2(2-x)

Answer 1

Answer:

x = - 2/5

Step-by-step explanation:

$3(x+2)=2(2-x)\\\\\mathrm{Expand\:}3\left(x+2\right):\quad 3x+6\\\\\mathrm{Expand\:}2\left(2-x\right):\quad 4-2x\\\\3x+6=4-2x\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\3x+6-6=4-2x-6\\\\3x=-2x-2\\\\\mathrm{Add\:}2x\mathrm{\:to\:both\:sides}\\\\3x+2x=-2x-2+2x\\\\Simplify\\\\5x=-2\\\\Divide\:both\:sides\:by5\\\\\frac{5x}{5}=\frac{-2}{5}\\\\x=-\frac{2}{5}$